Cryptology ePrint Archive: Report 2008/117

Exponentiation in pairing-friendly groups using homomorphisms

Steven D. Galbraith and Michael Scott

Abstract: We present efficiently computable homomorphisms of the groups $G_2$ and $G_T$ for pairings $G_1 \times G_2 \rightarrow G_T$. This allows
exponentiation in $G_2$ and $G_T$ to be accelerated using the Gallant-Lambert-Vanstone method.